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Finding the Fourth Proportional to 904.13, 1,247.32 and 609.49

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Solution

The fourth proportional to 904.13, 1,247.32 and 609.49 is: 840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.13 : 1,247.32 = 609.49 : x
  2. Step 2: Convert to fraction form
    904.13/1,247.32 = 609.49/x
  3. Step 3: Cross multiply
    904.13x = 1,247.32 × 609.49
  4. Step 4: Simplify right side
    904.13x = 760,229.07
  5. Step 5: Solve for x
    x = 760,229.07/904.13
  6. Step 6: Final answer
    x = 840.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.